3984433152 has 448 divisors, whose sum is σ = 13588715520. Its totient is φ = 1012137984.

The previous prime is 3984433147. The next prime is 3984433199. The reversal of 3984433152 is 2513344893.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75177958 + ... + 75178010.

Almost surely, 2^3984433152 is an apocalyptic number.

3984433152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794357760).

3984433152 is an abundant number, since it is smaller than the sum of its proper divisors (9604282368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3984433152 is a wasteful number, since it uses less digits than its factorization.

3984433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 3984433152 is about 63122.3664955616. The cubic root of 3984433152 is about 1585.3391389523.

The spelling of 3984433152 in words is "three billion, nine hundred eighty-four million, four hundred thirty-three thousand, one hundred fifty-two".